28. Two similar triangles have perimeters in the ratio 3:5. The sides of the smaller triangle measure 3 cm, 5 cm,
and 7 cm, respectively. What is the perimeter, in
centimeters, of the larger triangle?

25cm

Step-by-step explanation:

first find the perimeter of the dmaller triangle. perimeter=add all sides

3+5+7=15cm

15cm=⅜

? = ⅝ (cross multiply)

15cm×⅝×8/3=25cm

perimeter of the larger triangle is 25cm

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: